Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400ho |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
27600000000 = 210 · 3 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2133,36363] |
[a1,a2,a3,a4,a6] |
Generators |
[634:4875:8] |
Generators of the group modulo torsion |
j |
67108864/1725 |
j-invariant |
L |
7.9068323124179 |
L(r)(E,1)/r! |
Ω |
1.1813095424497 |
Real period |
R |
3.3466386312684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015077 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400x1 27600bf1 22080cf1 |
Quadratic twists by: -4 8 5 |